{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:XKCLXUUVVUIW2ZSQGYF5752Y3J","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"4daf6f655dbb2be49a22bf32e54df6c2fca4fcc06bbb59fd75353147ac32d0fb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-06-19T15:28:29Z","title_canon_sha256":"918018ec1222c4400473c5375c8e2972f3fb5e3a69fd473f6f9a99d26d4cd70b"},"schema_version":"1.0","source":{"id":"1306.4579","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.4579","created_at":"2026-05-18T02:29:15Z"},{"alias_kind":"arxiv_version","alias_value":"1306.4579v1","created_at":"2026-05-18T02:29:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.4579","created_at":"2026-05-18T02:29:15Z"},{"alias_kind":"pith_short_12","alias_value":"XKCLXUUVVUIW","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XKCLXUUVVUIW2ZSQ","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XKCLXUUV","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:88538614f6c2d7221c24b502d8a0d95b913ab16ca9934c13780eaa353d39fd36","target":"graph","created_at":"2026-05-18T02:29:15Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We give a topological bound on the number of minimal models of a class of three dimensional log smooth pairs of general type.","authors_text":"Paolo Cascini, Vladimir Lazi\\'c","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-06-19T15:28:29Z","title":"On the number of minimal models of a log smooth threefold"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.4579","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:628b2a0e0c7f726dfba5a6fe9042691bed59bb0abdafd8eda1d7dbe249feaee6","target":"record","created_at":"2026-05-18T02:29:15Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"4daf6f655dbb2be49a22bf32e54df6c2fca4fcc06bbb59fd75353147ac32d0fb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-06-19T15:28:29Z","title_canon_sha256":"918018ec1222c4400473c5375c8e2972f3fb5e3a69fd473f6f9a99d26d4cd70b"},"schema_version":"1.0","source":{"id":"1306.4579","kind":"arxiv","version":1}},"canonical_sha256":"ba84bbd295ad116d6650360bdff758da4bb77a085ba59a43fd4669357b904185","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba84bbd295ad116d6650360bdff758da4bb77a085ba59a43fd4669357b904185","first_computed_at":"2026-05-18T02:29:15.959374Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:15.959374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lGqNrgHf76EQ2GpqV6WakJl4a3xssilGQJv3YQ1X0bOtrWg3BdgaUJFhuLoxoHS1mgiydHL3JKPGgGxPZtyBDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:15.960018Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.4579","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:628b2a0e0c7f726dfba5a6fe9042691bed59bb0abdafd8eda1d7dbe249feaee6","sha256:88538614f6c2d7221c24b502d8a0d95b913ab16ca9934c13780eaa353d39fd36"],"state_sha256":"101dc654da2aead518bac6c4871ab5564d453c6c6099979ce7f2afcf0b1e97c8"}